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404220550000140 = 2232543124094208629
BaseRepresentation
bin101101111101000101110111…
…0010010110010111000001100
31222000020002220010200200011200
41123322023232102302320030
5410440222141300001030
63551412205044545500
7151066654024001346
oct13372135622627014
91860202803620150
10404220550000140
11107884a77515755
12394047983b2290
1314471aacc80843
1471b6544000296
1531aea8671bd60
hex16fa2ee4b2e0c

404220550000140 has 144 divisors (see below), whose sum is σ = 1254751857559200. Its totient is φ = 105276842947584.

The previous prime is 404220550000079. The next prime is 404220550000187. The reversal of 404220550000140 is 41000055022404.

404220550000140 is a `hidden beast` number, since 40 + 42 + 20 + 550 + 0 + 0 + 0 + 14 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93941346 + ... + 98149974.

Almost surely, 2404220550000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404220550000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627375928779600).

404220550000140 is an abundant number, since it is smaller than the sum of its proper divisors (850531307559060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404220550000140 is a wasteful number, since it uses less digits than its factorization.

404220550000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221096 (or 4221091 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 404220550000140 in words is "four hundred four trillion, two hundred twenty billion, five hundred fifty million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 12409 24818 37227 49636 62045 74454 111681 124090 148908 186135 223362 248180 372270 446724 533587 558405 744540 1067174 1116810 1600761 2134348 2233620 2667935 3201522 4208629 4802283 5335870 6403044 8003805 8417258 9604566 10671740 12625887 16007610 16834516 19209132 21043145 24011415 25251774 32015220 37877661 42086290 48022830 50503548 63129435 75755322 84172580 96045660 126258870 151510644 180971047 189388305 252517740 361942094 378776610 542913141 723884188 757553220 904855235 1085826282 1628739423 1809710470 2171652564 2714565705 3257478846 3619420940 5429131410 6514957692 8143697115 10858262820 16287394230 32574788460 52224877261 104449754522 156674631783 208899509044 261124386305 313349263566 470023895349 522248772610 626698527132 783373158915 940047790698 1044497545220 1566746317830 1880095581396 2245669722223 2350119476745 3133492635660 4491339444446 4700238953490 6737009166669 8982678888892 9400477906980 11228348611115 13474018333338 20211027500007 22456697222230 26948036666676 33685045833345 40422055000014 44913394444460 67370091666690 80844110000028 101055137500035 134740183333380 202110275000070 404220550000140